MA105 Mathematics of Finance

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2 STUDENTS

Simple Interest:Introduction – Terms with Symbols – Time Diagrams – Formulas – Decision Making – Time – Dates – Interest Bearing Notes vs. Non-Interest Bearing Notes – Interest Bearing Promissory Notes – Interest Bearing Notes Sold to Third Parties – Non-Interest Bearing Promissory Notes – Equations of Value – Partial Payments – Bank Discount:Introduction – Terms with Symbols – Time Diagrams – Formulas – Loans Using Bank Discounts – Simple Interest Rate vs. Bank Discount Rate – Derivation Formulas – Compound Interest:Introduction – Terms with Symbols – Time Diagram – Formulas – Graphical Comparison of Simple and Compound Interests – Finding “N”, The Total Number of Conversion Periods – Interest for Part of a Conversion Period – Using the Business Calculator to Solve for any Unknown – Effective Rates vs. Nominal Rates – Equations of Value

Ordinary Annuities and Extending Ordinary Annuities:Introduction – Terms With Symbols for Ordinary Annuities – Time Diagrams for Simple Ordinary Annuities – Determining N for Ordinary Annuities – Formulas for Ordinary Annuities – Using the Business Calculator to Solve for Any Unknown – Using the Ordinary Annuity to Solve Forborne, Deferred Annuities and Annuity Dues – Determining N and the Size of the Smaller Concluding Withdrawal or Payment – General Annuities – Applications of the Ordinary Annuity: Amortization and Sinking Funds:Introduction – Amortization – Terms for Amortization – Time Diagram for Amortization – Sinking Funds – Perpetuities and Capitalized Costs:Introduction – Perpetuities Terms with Symbols for Perpetuities – Time Diagram for Perpetuities – Review of Concepts Needed to Solve Problems – Solving Perpetuities – Capitalized Cost

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